Question
$$2 \cdot \frac{x}{2}x = 1$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = -1 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2 \cdot \frac{x}{2}x &= 1&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]22 \cdot \frac{x}{2}x &= 2\cdot1&& \text{cancel out the denominators} \\[1 em]2x^2 &= 2&& \text{move all terms to the left hand side } \\[1 em]2x^2-2 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-2 = 0 $ is a quadratic equation.
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